3. On the map 1/3 cm represents 5 kilometers. How many centimeters on map represent 200 kilometers?A. 1/5B. 1 2/3C.13 1/3D. 40E. 66 2/3

Answer:
C.13 1/3 cm
Explanation:
On the map, 5km is represented by 1/3 cm.
Therefore:
[tex]1\operatorname{km}\text{ is represented by }\frac{1}{3}\div5=\frac{1}{15}cm[/tex]We can then conclude that:
[tex]\begin{gathered} 200\operatorname{km}\text{ is represented by }\frac{1}{15}\times200\text{ cm} \\ \frac{1}{15}\times200=13\frac{1}{3}cm \end{gathered}[/tex]The correct choice is C.